Abstract: | In this paper, we study splitting numerical methods for the three-dimensional
Maxwell equations in the time domain. We propose a new kind of splitting finite-difference time-domain schemes on a staggered grid, which consists of only two stages
for each time step. It is proved by the energy method that the splitting scheme is unconditionally stable and convergent for problems with perfectly conducting boundary
conditions. Both numerical dispersion analysis and numerical experiments are also
presented to illustrate the efficiency of the proposed schemes. |